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2 years ago

Abby is 4 – feet tall. Craig is 4 feet tall.

Mathematics

2 answers:

Tanya [424]2 years ago

6 0

A. Craig is taller
B. The positive is higher than the negative value

kari74 [83]2 years ago

6 0

Answer:

They the same height my guy no difference

Step-by-step explanation:

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Find the value of B - A if the graph of Ax + By = 3 passes through the point (-7, 2), and is parallel to the graph x + 3y = -5.

Elena-2011 [213]

Answer:

$B - A = -6$

Step-by-step explanation:

Given

Point: (-7,2)

x + 3y = -5

Required

Find B- - A in Ax + By = 3

To start with; we need to calculate the slope of x + 3y = -5

$x + 3y = -5$

Subtract x from both sides

$x - x + 3y = -5 - x$

$3y = -5 - x$

Divide both sides by 3

$\frac{3y}{3} = -\frac{5}{3} - \frac{x}{3}$

$y = -\frac{5}{3} - \frac{x}{3}$

The slope of the line is the coefficient of x

Slope = $- \frac{1}{3}$

The question says line Ax + By = 3 is parallel to line x + 3y = -5; This means that they have the same slope of $- \frac{1}{3}$

Having calculated the slope, next is to calculate the equation of the line using the following formula;

$m = \frac{y - y_1}{x - x_1}$

Where m is the slope; m = $- \frac{1}{3}$ ; $(x_1, y_1) = (-7,2)$

Substitute these values in the formula above; the formula becomes

$-\frac{1}{3} = \frac{y - 2}{x - -7}$

$-\frac{1}{3} = \frac{y - 2}{x +7}$

Cross Multiply

$-1(x+7) = 3(y-2)$

Open brackets

$-x - 7 = 3y - 6$

Add x to both sides

$x - x - 7 = 3y - 6 + x$

$-7 = 3y - 6 +x$

Add 6 to both sides

$-7 + 6 = 3y -6 + 6 + x$

$-1 = 3y + x$

Multipby both sides by -3

$-3(-1) = -3(3y + x)$

$3 = -9y - 3x$

$-9y - 3x = 3$

$-3x - 9y = 3$

Comparing the above to Ax + By = 3

$Ax = -3x\\A = -3$

$By = -9y\\B = -9$

$B - A = -9 - (-3)$

$B - A = -9 + 3$

$B - A = -6$

3 0

2 years ago

Give the answer to the question below.

alexira [117]

Answer:

1/4 assuming x is not 0

Step-by-step explanation:

x^0 is 1 and 1/4 * 1 = 1/4

4 0

3 years ago

The hanger image represents a balanced equation (look at picture)

nekit [7.7K]

Answer:

A) $27 = b + 9$

$b=18$

Step-by-step explanation:

When given a balanced scale (represented by a hanger in this image), the sum of the values on one side equals the value on the other side. Thus, the equation that this hanger represents is the following:

$27 = b + 9$

Use inverse operations to solve this equation,

$27 = b + 9$

$-9$

$18 = b$

3 0

2 years ago

A rectangular pool is surrounded by a walk 3 meters wide. The pool is 4 meters longer than its width. If the total area of the p

motikmotik

x = 26 m is the width of the pool, length: 29+4 = 33 m.

<u>Step-by-step explanation:</u>

We have A rectangular pool is surrounded by a walk 3 meters wide. The pool is 4 meters longer than its width. If the total area of the pool walk is 372 square meters more than the area of the pool.

Let the width of the pool = x

Then the length will = (x+4) ,over all dimensions will be (x+6) by (x+6+4) or (x+10)

Total area - pool area = 372

$(x+10)*(x+6) - x(x+4) = 372\\x^{2}+16x+60-x^{2}-4x = 372\\12x+60 = 372\\12x = 372-60\\12x = 312\\x = 26$

∴ x = 26 ft is the width of the pool, length: 29+4 = 33 ft

7 0

2 years ago

If the endpoint is (-2,-6) and the midpoint is (8,-1) then what is the other endpoint

olga_2 [115]

Answer:

(25,-26)

Step-by-step explanation:

difference between the two points in x and y coordinates are

x = 10 - (-5) =15, y = -9 - 8 = -17,

so to get to the other endpoint you need to add another

x = 15 and y = -17 to the midpoint, (10,-9).

10+15 = 25 for x and -9 - 17 is -26 for y.

8 0

2 years ago